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What happens in your personal vehicle stays with your personal vehicle. IT should not have bearing on your qualification for delivery.
Now, when they ask if you have been involved in an accident, you must answer yes, to do otherwise is grounds for termination.
One more item no one has covered. If by some screwball management decision you are prohibited from driving because of this accident, you are damaged because of the driver at fault. Find a good lawyer, and sue the piss out of the guy's insurance for lost wages, benifits, retirement losses, etc. The potential loss of you not starting driving ASAP might be several hundred thousand dollars in lost revenue over the many years of your career, and many more of retirement.
Also, make sure you get the other insurance company to pay for decreased value of your vehicle. This can also amount to several hundred if not a couple of thousand dollars over the actual cost to fix the vehicle. Any vehicle that has a damage record will be worth less, regardless of the quality of the repair. This diminished value is very evident should some request a carfax when you sell your car.
Just covering your bases for you.
d